Carbon monoxide emitted by automobiles is an environmental hazard . A car has an engine of four cylinders with a total cylinder volume of 1600 cc and a fuel consumption fo 7.0 `dm^(3)` per 100 Km , when driving at an average speed of 80 km/hr . In one second , each cylinder goes through 25 burn cycles and consumes 0.400g of fuel . The compression ratio, which is the ratio between the smallest and largest volume within the cylinder as the piston moves forward and backward is 1:8.
The gasified fuel and air are compressed to their lowest volume and then ignited .
The overall stoichiometric equation for the combustion reaction is
`C_(8)H_(18) = 12.10_(2) rarr 0.8 CO + 7.2 CO_(2)+ 9H_(2)O`
Calculate the temperature of the
i) gases just at the time of maximum compression and
ii) exhaust gases leaving the cylinder if the final pressure in the cylinder is 200 Kpa.
Relevant data needed for one burn cycle is given below.
`{:("compound",DeltaH_(f)(KJ "mol"^(-1)),C_(P)(J "mol"^(-1)K^(-1)),"Composition of gases after combustion" ("mol" xx 10^(-4))),(N_(2)(g),0.0, 29.13 , 101.91),(O_(2)(g),0.0, 29.36,10.1),(CO(g),-110.53, 29.14, 1.12),(CO_(2)(g) ,-395.51,37.11,10.11),(H_(2)(g),-241.82,33.58,12.36),("Isocotane",-187.82,,):}`

Answer

`T_(1) =2060 K " " ; " " T_(2)=708 K`